This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Analyze the first sequence. The sequence is 125, 250, 375, 500. a) What is the difference between the numbers? Calculate the difference between consecutive terms: 250 - 125 = 125 375 - 250 = 125 500 - 375 = 125 The difference between the numbers is constant. The difference between the numbers is 125. b) Describe the pattern. The pattern is to add 125 to the previous number. This sequence is also a list of multiples of 125. The pattern is: Add 125 to the previous number. Step 2: Analyze the second sequence. The sequence is 8, 24, 72. a) What is the difference between the numbers? Calculate the difference between consecutive terms: 24 - 8 = 16 72 - 24 = 48 The differences are not constant. b) Describe the pattern. Let's check for a multiplicative pattern: 24 ÷ 8 = 3 72 ÷ 24 = 3 The pattern is to multiply the previous number by 3. The pattern is: Multiply the previous number by 3. Step 3: Analyze the third sequence. The sequence is 286, 311, 336, ___, ___, ___. a) Give the next three numbers of the sequence. Describe the pattern. First, find the pattern by calculating the difference between consecutive terms: 311 - 286 = 25 336 - 311 = 25 The pattern is to add 25 to the previous number. Now, find the next three numbers: 336 + 25 = 361 361 + 25 = 386 386 + 25 = 411 The next three numbers are 361, 386, 411. The pattern is: Add 25 to the previous number. Send me the next one 📸